Answer
Find out the value of x .
To proof
SAS congurence property
In this property two sides and one angle of the two triangles are equal.
in the Δ ADC and ΔBDC
(1) CD = CD (common side of both the triangle)
(2) ∠CDA = ∠ CDB = 90 °
( ∠CDA +∠ CDB = 180 ° (Linear pair)
as given in the diagram
∠CDA = 90°
∠ CDB = 180 ° - 90°
∠ CDB = 90°)
(3) AD = DB (as shown in the diagram)
Δ ADC ≅ ΔBDC
by using the SAS congurence property .
AC = BC
(Corresponding sides of the congurent triangle)
As given
the length of AC is 2x and the length of BC is 3x - 5 .
2x = 3x - 5
3x -2x =5
x = 5
The value of x is 5 .
Hence proved
The value of x is about 4.7
Answer:
288
Step-by-step explanation:
<em> Number of rectangles</em>
<em>____________________________________________________________</em>
1 × 1 squares 9-1 = 1 = 8*8 = 64
1 × 2 squares 9-2 = 7 = 8*7 = 56
1 × 3 squares 9-3 = 6 = 8*6 = 48
1 × 4 squares 9-4 = 5 = 8*5 = 40
1 × 5 squares 9-5 = 4 = 8*4 =32
1 × 6 squares 9-6 = 3 = 8*3 = 24
1 × 7 squares 9-7 = 2 = 8*2 = 16
1 × 8 squares 9-8 = 1 = 8*1 = 8
64 + 56 + 48 + 40 + 32 + 24 + 16 + 8 = 288
<em>Thus,</em>
<em>the number of squares on a chessboard is 228.</em>
<em />
<em>Hope this helps :)</em>
Answer:
we need to find out if the following get x = 2 as a final product
-2(x-4) = 4
-2x + 8 = 4
-2x = -4
x = 2
so it is a solution
26/x = 13
26 = 13x
x = 26/13
x = 2
so it’s a solution
-3.8x = -7.4
x = 7.4/3.8 ≠ 2
you get ≈ 1.95
so it’s not a solution
4(x-1) - 3(x-2) = -8
4x - 4 - 3x + 6 = -8
x + 2 = -8
x = -10
so it’s not a solution
